Singularity of the density of states for one-dimensional chains with random couplings |
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Authors: | Massimo Campanino J Fernando Perez |
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Institution: | (1) Instituto di Mathematica, Departimento di Matematica, Università di Bologna, piorza Porta S. Donato, 5, I-40127 Bologna, Italy;(2) Departimento de Fisica Matematica, IFUSP, P.O. Box 20516, São Paulo, Brazil |
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Abstract: | We prove that the density of states for the tight-binding model with off-diagonal disorder under general conditions diverges forR 0 at least as
. This result is established through the study of the recurrence properties of an associated Markov chain.Partial financial support by GNAFA (CNR)Partial financial support by CNPq, grant n.303795-77FA |
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